# The LFV decays $B^0_{d,s}\rightarrow e\mu(e\tau,\mu\tau)$ with one neutral singlet scalar

## TL;DR

This paper explores lepton flavor violating decays of neutral B mesons within a minimal Standard Model extension involving a neutral singlet scalar, constrained by radiative decay bounds, and analyzes the dependence on quark-scalar couplings.

## Contribution

It provides a detailed analysis of LFV B meson decays considering scalar couplings, highlighting the dominant role of down-type quark couplings and the impact of existing experimental constraints.

## Key findings

- Decay predictions depend strongly on down-type quark-scalar couplings.
- Up-type quark-scalar couplings have a less significant effect.
- Current bounds from radiative decays constrain the scalar-lepton couplings.

## Abstract

Taking account of the constraint from radiative two body decays $l_i\rightarrow l_j\gamma$, we investigate the Lepton Flavor Violation decays $B^0_q\rightarrow\bar{l_l}l_k$ in the framework of the minimal extension of the Standard Model with one neutral singlet scalar. The couplings $C_{e\mu}$, $C_{e\tau}$ and $C_{\mu\tau}$ between the different generation leptons and scalar $S^0$ are constrained by the current bounds of $l_i\rightarrow l_j\gamma$. The numerical results show that the theoretical prediction of $B^0_q\rightarrow\bar{l_l}l_k$ strongly depend on the couplings $C_{qb}$ ($q=d\;or\; s$) between down type quarks and new scalar. The contributions from couplings $C_{uc}$, $C_{ut}$ and $C_{ct}$ between up type quark and new scalar are less dominant.